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6989953397904 = 243253241572
BaseRepresentation
bin110010110110111100110…
…1100000111010010010000
3220202020021212111201012100
41211231321230013102100
51404010411032213104
622511050144000400
71321002363362121
oct145557154072220
926666255451170
106989953397904
112255471513504
1294a849300100
133b91c40a2569
141a245bc22048
15c1c586d8139
hex65b79b07490

6989953397904 has 135 divisors (see below), whose sum is σ = 19943020183723. Its totient is φ = 2285472573696.

The previous prime is 6989953397849. The next prime is 6989953397927. The reversal of 6989953397904 is 4097933599896.

The square root of 6989953397904 is 2643852.

It is a perfect power (a square), and thus also a powerful number.

6989953397904 is a `hidden beast` number, since 6 + 9 + 8 + 9 + 9 + 533 + 9 + 79 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 234112757904 + 6755840640000 = 483852^2 + 2599200^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1681487794 + ... + 1681491950.

Almost surely, 26989953397904 is an apocalyptic number.

6989953397904 is the 2643852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6989953397904

6989953397904 is an abundant number, since it is smaller than the sum of its proper divisors (12953066785819).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6989953397904 is an frugal number, since it uses more digits than its factorization.

6989953397904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8434 (or 4215 counting only the distinct ones).

The product of its (nonzero) digits is 3571283520, while the sum is 81.

Multiplying 6989953397904 by its sum of digits (81), we get a square (566186225230224 = 237946682).

The spelling of 6989953397904 in words is "six trillion, nine hundred eighty-nine billion, nine hundred fifty-three million, three hundred ninety-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1908 2544 2809 3816 4157 5618 7632 8314 8427 11236 12471 16628 16854 22472 24942 25281 33256 33708 37413 44944 49884 50562 66512 67416 74826 99768 101124 134832 149652 199536 202248 220321 299304 404496 440642 598608 660963 881284 1321926 1762568 1982889 2643852 3525136 3965778 5287704 7931556 10575408 11677013 15863112 17280649 23354026 31726224 34561298 35031039 46708052 51841947 69122596 70062078 93416104 103683894 105093117 138245192 140124156 155525841 186832208 207367788 210186234 276490384 280248312 311051682 414735576 420372468 560496624 622103364 829471152 840744936 915874397 1244206728 1681489872 1831748794 2488413456 2747623191 3663497588 5495246382 7326995176 8242869573 10990492764 14653990352 16485739146 21980985528 32971478292 43961971056 48541343041 65942956584 97082686082 131885913168 145624029123 194165372164 291248058246 388330744328 436872087369 582496116492 776661488656 873744174738 1164992232984 1747488349476 2329984465968 3494976698952 6989953397904